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Finding the Fourth Proportional to 654.63, 980.19 and 449.61

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Solution

The fourth proportional to 654.63, 980.19 and 449.61 is: 673.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.63 : 980.19 = 449.61 : x
  2. Step 2: Convert to fraction form
    654.63/980.19 = 449.61/x
  3. Step 3: Cross multiply
    654.63x = 980.19 × 449.61
  4. Step 4: Simplify right side
    654.63x = 440,703.23
  5. Step 5: Solve for x
    x = 440,703.23/654.63
  6. Step 6: Final answer
    x = 673.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.